{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bayesian Treatment of Density Estimation\n",
    "## the binomial distribution case\n",
    "\n",
    "The goal of density estimation is to find a probability distribution $p(x)$ given some data $D$. Under a Bayesian treatment we consider bayes theorem\n",
    "\n",
    "$$\n",
    "    p(x|\\mathcal D) = \\frac{p(x) p(\\mathcal D | x)}{p(\\mathcal D)}\n",
    "$$\n",
    "\n",
    "With assumed prior $p(x)$ and likelyhood function $p(\\mathcal D | x)$ (both chosen by the scientist performing the experiment).\n",
    "\n",
    "---\n",
    "\n",
    "\n",
    "The goal of this notebook is to understand density estimation as a *sequential* learning model, i.e., under a Bayeisan POV. For this, we consider the pmf of a binomial distribution given by:\n",
    "\n",
    "$$\n",
    "    p(m|N, \\mu) = {N\\choose m}\\mu^m(1 - \\mu)^{N - m} \n",
    "$$\n",
    "\n",
    "For a binomial distribution, the pmf is the likelyhood function.\n",
    "\n",
    "As a prior distribution of the parameter $\\mu$, we consider the _beta_ distribution, which is given by:\n",
    "$$\n",
    "    \\text{Beta}(\\mu|a,b) = \\frac{\\Gamma(a + b)}{\\Gamma(a) \\Gamma(b)} \\mu^{a-1}(1 - \\mu)^{b-1}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.special import gamma, comb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = \"retina\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def beta_pmf(mu, a, b): return gamma(a + b) / (gamma(a) * gamma(b)) * mu ** (a - 1) * (1 - mu) ** (b - 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_beta_pmf(a, b, ax):\n",
    "    xvals = np.linspace(0, 1, 200)[1:-1]\n",
    "    yvals = beta_pmf(xvals, a, b)\n",
    "    ax.plot(xvals, yvals)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 648x432 with 4 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 422,
       "width": 640
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pairs = [(1, 1), (5, 5), (4, 7), (11, 5)]\n",
    "\n",
    "fig, ax = plt.subplots(2, 2, figsize=(9, 6))\n",
    "ax = ax.ravel() \n",
    "for (a, b), axi in zip(pairs, ax):\n",
    "    plot_beta_pmf(a, b, axi)\n",
    "    axi.set_title(f\"$Beta({a}, {b})$\")\n",
    "plt.tight_layout()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
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